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Anthony REVEILLAC (Insa Toulouse, IMT) “On a stochastic Hardy-Littlewood-Sobolev inequality with application to Strichartz estimates for a noise dispersion”

January 7, 3:30 pm - 4:30 pm

1st Monday of each month

Time: 3:30 pm – 4:30 pm
Date: 07 th of January 2019
Place: Room 3105

Anthony REVEILLAC (Insa Toulouse, IMT) “On a stochastic Hardy-Littlewood-Sobolev inequality with application to Strichartz estimates for a noise dispersion”

Abstract : In this talk we will address the Cauchy problem for a nonlinear Schrödinger equation where the dispersion is modulated by a deterministic perturbation. The perturbation is understood as the derivative of a self-affine function of order H ∈ (0, 1). Due to the self-similarity of the perturbation, we obtain modified Strichartz estimates which enables us to prove the global well-posedness of the equation for L2-supercritical nonlinearities. This is an occurence of regularization by « noise » in a purely deterministic context.»

 

 

Details

Date:
January 7
Time:
3:30 pm - 4:30 pm
Event Categories:
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Organizers

Caroline HILLAIRET
Peter TANKOV